{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "plt.rcParams[\"font.sans-serif\"] = [\"SimHei\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib as mpl\n",
    "from matplotlib.colors import ListedColormap, LinearSegmentedColormap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def scatter_with_cmap(cmap):\n",
    "    x = np.arange(1,13,1)\n",
    "    y = np.random.randint(1,16,size=12)\n",
    "    labels = [\"Python\",\"Java\",\"C++\",\"C\",\"SQL\",\"JS\",\"Go\",\"HTML\",\"R\",\"C#\",\"CSS\",\"TypeScript\"]\n",
    "    \n",
    "    fig = plt.figure(figsize=(10,5),dpi=100)\n",
    "    ax =  fig.add_subplot(1,1,1)\n",
    "    ax.xaxis.set_ticks(x)\n",
    "    ax.xaxis.set_ticklabels(labels,family=\"fantasy\")\n",
    "    ax.set_title(\"团队熟悉某语言的开发者数量分布\")\n",
    "    \n",
    "    dot = ax.scatter(x,y,s=500,c=y,cmap=cmap)\n",
    "    fig.colorbar(dot,ax=ax)\n",
    "\n",
    "# 选择一种内置颜色映射“cool”\n",
    "cool = mpl.cm.cool\n",
    "# 选取cool百分之20至百分之80之间的区域来映射，选取了中间256个点\n",
    "cmap = ListedColormap(cool(np.linspace(0.2,0.8,256)))\n",
    "scatter_with_cmap(cmap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 使用另一种颜色映射“binary”\n",
    "binary = mpl.cm.binary\n",
    "scatter_with_cmap(binary)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 离散型\n",
    "frac = ListedColormap([\"red\",\"blue\",\"green\",\"orange\"])\n",
    "scatter_with_cmap(frac)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 自定义每段的颜色值\n",
    "N = 256\n",
    "vals = np.ones((N, 4))\n",
    "vals[:, 0] = np.linspace(90/256, 1, N)\n",
    "vals[:, 1] = np.linspace(40/256, 1, N)\n",
    "vals[:, 2] = np.linspace(40/256, 1, N)\n",
    "newcmp = ListedColormap(vals)\n",
    "scatter_with_cmap(newcmp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 自对应划分每块渐变颜色区域的大小\n",
    "colors = [\"red\",\"blue\",\"green\",\"orange\"]\n",
    "nodes = [0.0,0.2,0.4,1.0]\n",
    "# cmap = LinearSegmentedColormap.from_list(\"mycmap\",colors)\n",
    "cmap = LinearSegmentedColormap.from_list(\"mycmap\",list(zip(nodes,colors)))\n",
    "scatter_with_cmap(cmap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1.0, 0.4745098039215686, 0.803921568627451, 1.0)\n",
      "(0.9986928104575163, 0.473356401384083, 0.8043060361399462, 1.0)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# colors2 = [\"#ff79cd\",\"#aa2ee6\"]\n",
    "color2 = [(1.0,0.4745,0.8039,1.0),(0.9987,0.47336,0.8043,1.0)]\n",
    "nodes2 = [0.0,1.0]\n",
    "cmap2 = LinearSegmentedColormap.from_list(\"mycmap2\",list(zip(nodes2,colors2)))\n",
    "scatter_with_cmap(cmap2)\n",
    "print(cmap2(0))\n",
    "print(cmap2(1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 认识ScalarMappable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(0.9686274509803922, 0.03137254901960784, 1.0, 1.0)\n",
      "(1.0, 0.0, 1.0, 1.0)\n"
     ]
    }
   ],
   "source": [
    "def scalarmappable_application():\n",
    "    cmap = mpl.cm.cool\n",
    "    norm = mpl.colors.Normalize(vmin=-10,vmax=20)\n",
    "    sm = mpl.cm.ScalarMappable(norm=norm,cmap=cmap)\n",
    "    print(sm.to_rgba(19))\n",
    "    print(sm.to_rgba(20))\n",
    "\n",
    "scalarmappable_application()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "frac = [38,30,24,15,9,5]\n",
    "def testing_colormap_to_pie(data,colors):\n",
    "    frac = [0.0,1.0]\n",
    "    cmap = LinearSegmentedColormap.from_list(\"mymap2\",list(zip(frac,colors)))\n",
    "    norm = mpl.colors.Normalize(vmin=1,vmax=40)\n",
    "    sc = mpl.cm.ScalarMappable(norm=norm,cmap=cmap)\n",
    "    \n",
    "    # 初始化坐标样式\n",
    "    fig = plt.figure(figsize=(10,5),dpi=100)\n",
    "    ax = fig.add_subplot(1,1,1,polar=True)\n",
    "    ax.xaxis.grid(False)\n",
    "    ax.yaxis.grid(False)\n",
    "    ax.yaxis.set_ticks([])\n",
    "    ax.xaxis.set_ticks([])\n",
    "    ax.spines[\"polar\"].set_visible(False)\n",
    "    \n",
    "    \n",
    "    x = np.arange(0, 2*np.pi, 2*np.pi/len(data))\n",
    "    ws = ax.bar(x,data,width=2*np.pi/len(data))\n",
    "    \n",
    "    for w,v in zip(ws,data):\n",
    "        w.set_facecolor(sc.to_rgba(v))\n",
    "        \n",
    "    fig.colorbar(sc,ax=ax)\n",
    "    \n",
    "testing_colormap_to_pie(frac,[\"#f5abc9\",\"#e93b81\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "testing_colormap_to_pie(frac,[\"#8ab6d6\",\"#0061a8\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
